Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality [(111327.12*n^2+18829.77*n^3+760.5*n^4)/(1249.65+117*n)]-524.84-580.25*n >1.2*[(40479.44*n^2+2845.92*n^3+48.02*n^4)/(696.96+29.4*n)] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( 111327.12 * n ^ 2 + 18829.77 * n ^ 3 + 760.5 * n ^ 4 ) / ( 1249.65 + 117 * n ) ) - 524.84 - 580.25 * n >1.2 * ( ( 40479.44 * n ^ 2 + 2845.92 * n ^ 3 + 48.02 * n ^ 4 ) / ( 696.96 + 29.4 * n ) )         (1)
        From the definition field of divisor
         1249.65 + 117 * x ≠ 0        (2 )
        From the definition field of divisor
         696.96 + 29.4 * x ≠ 0        (3 )

    From inequality(1):
         -14.533776 < n < -10.680769 或  -9.837076 < n < -0.884089 或  n > 9.768622
    From inequality(2):
         n < -10.680769 或  n > -10.680769
    From inequality(3):
         n < -23.706122 或  n > -23.706122

    From inequalities (1) and (2)
         -14.533776 < n < -10.680769 或  -9.837076 < n < -0.884089 或  n > 9.768622    (4)
    From inequalities (3) and (4)
         -14.533776 < n < -10.680769 或  -9.837076 < n < -0.884089 或  n > 9.768622    (5)

    The final solution set is :

         -14.533776 < n < -10.680769 或  -9.837076 < n < -0.884089 或  n > 9.768622




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